Finding the Third Proportional to 83,120 and 183,740
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Solution
The third proportional to 83,120 and 183,740 is: 406,164.43
Step by Step Solution
- Step 1: Write the proportion equation
83,120 : 183,740 = 183,740 : x - Step 2: Convert to fraction form
83,120/183,740 = 183,740/x - Step 3: Cross multiply
83,120x = 183,740 × 183,740 - Step 4: Simplify right side
83,120x = 33,760,387,600 - Step 5: Solve for x
x = 33,760,387,600/83,120 - Step 6: Final answer
x = 406,164.43
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.